34106224320 has 672 divisors, whose sum is σ = 137556776448. Its totient is φ = 7596343296.

The previous prime is 34106224319. The next prime is 34106224421. The reversal of 34106224320 is 2342260143.

34106224320 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 622 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209240559 + ... + 209240721.

It is an arithmetic number, because the mean of its divisors is an integer number (204697584).

Almost surely, 2^34106224320 is an apocalyptic number.

34106224320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68778388224).

34106224320 is an abundant number, since it is smaller than the sum of its proper divisors (103450552128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34106224320 is a wasteful number, since it uses less digits than its factorization.

34106224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34106224320 its reverse (2342260143), we get a palindrome (36448484463).

The spelling of 34106224320 in words is "thirty-four billion, one hundred six million, two hundred twenty-four thousand, three hundred twenty".